Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-23T17:57:11.854344Z
Paper Citation Record · LEDGER
Average signature of geodesic paths in compact Lie groups
As of 7 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2411.06760.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact3
- verified fuzzy19
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9c307c50-c17c-4ad9-9887-73eafa674127 · outbound
This paper cites Aliprantis and Kim C.
Average signature of geodesic paths in compact Lie groups Aliprantis and Kim C
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.003355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 39240ac5-b681-4029-a863-fd369f0d4984 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.029586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 05b4fcec-0e18-4d5d-8e46-49382eb75eba · outbound
This paper cites Boedihardjo and X.
Average signature of geodesic paths in compact Lie groups Boedihardjo and X
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.011250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17bd69f5-425a-4586-a367-6cf98efa301e · outbound
This paper cites Boedihardjo, X.
Average signature of geodesic paths in compact Lie groups Boedihardjo, X
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.000524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12e4abee-4f8d-4e78-ae99-13096798b301 · outbound
This paper cites Bayer, H.
Average signature of geodesic paths in compact Lie groups Bayer, H
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:17.994742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e9fd50d2-b37a-4c58-9c8b-6c5230f841b4 · outbound
This paper cites Cass and E.
Average signature of geodesic paths in compact Lie groups Cass and E
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:17.997816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f2475594-86bd-4aca-966e-ea5adb67c6a7 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.007719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation de34dfe7-681b-49d1-a6a3-0b71f1d02fb4 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.032839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 91786558-0758-4225-982e-de72c963e501 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.036058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 05177c4c-2529-45cc-975d-d65c91fd69cf · outbound
This paper cites A primer on the signature method in machine learning.
Average signature of geodesic paths in compact Lie groups A primer on the signature method in machine learning
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T17:58:17.189239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d71735f3-f1b7-42f6-9f62-0a550b19a973 · outbound
This paper cites Characteristic functions of measures on geometric rough paths.
Average signature of geodesic paths in compact Lie groups Characteristic functions of measures on geometric rough paths
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.055570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8a114593-eb2b-4b02-b8c0-e9427046d363 · outbound
This paper cites Chang, T.
Average signature of geodesic paths in compact Lie groups Chang, T
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.058555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7e28f216-2b38-4e1d-b097-7edc328065ef · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.061585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7b441895-5dd1-4d94-b166-fd953da314e6 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.045931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3ac0d91f-ea7e-4fe8-98e4-8e3dd72584c6 · outbound
This paper cites Signature moments to characterize laws of stochastic processes.
Average signature of geodesic paths in compact Lie groups Signature moments to characterize laws of stochastic processes
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.049368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0dc4a42f-92fa-48d4-91df-731f3aee7d12 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.052619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 00191520-260a-4d11-a607-297f0704fc38 · outbound
This paper cites Multidimensional Stochastic Processes as Rough Paths.
Average signature of geodesic paths in compact Lie groups Multidimensional Stochastic Processes as Rough Paths
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.042907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a943f56b-c7ab-4063-841c-a12cc35f634f · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.039550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dea1c7b4-f3cd-4810-8194-f97bfd8a0e08 · outbound
This paper cites Riemannian geometry.
Average signature of geodesic paths in compact Lie groups Riemannian geometry
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.026432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d10809cc-c4c1-43d7-8411-5380bdff050e · outbound
This paper cites Expected Signature on a Riemannian Manifold and Its Geometric Implications.
Average signature of geodesic paths in compact Lie groups Expected Signature on a Riemannian Manifold and Its Geometric Implications
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T17:58:17.200401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d455cdf0-7598-41d3-b058-c631d446c67f · outbound
This paper cites Uniqueness for the signature of a path of bounded variation and the reduced path group.
Average signature of geodesic paths in compact Lie groups Uniqueness for the signature of a path of bounded variation and the reduced path group
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.022862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fb70f3c3-d018-442c-b109-7da0fc1c2737 · outbound
This paper cites Kalsi, T.
Average signature of geodesic paths in compact Lie groups Kalsi, T
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.015527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9610819e-a4bf-44df-ba20-e4dd897d36d4 · outbound
This paper cites Kernels for sequentially ordered data.
Average signature of geodesic paths in compact Lie groups Kernels for sequentially ordered data
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.088901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72ad409d-5546-4112-96f0-52061bbeb7d5 · outbound
This paper cites Path Signatures on Lie Groups.
Average signature of geodesic paths in compact Lie groups Path Signatures on Lie Groups
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T17:58:17.194380Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 51a71226-4915-41f5-9897-2e9a341fdbc9 · outbound
This paper cites P C F - G A N : generating sequential data via the characteristic function of measures on the path space.
Average signature of geodesic paths in compact Lie groups P C F - G A N : generating sequential data via the characteristic function of measures on the path space
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.082202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 03ac86e3-65c6-49c4-9537-4574c353c72a · outbound
This paper cites System control and rough paths.
Average signature of geodesic paths in compact Lie groups System control and rough paths
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.075682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e8ad5f43-9c92-4ed6-a7b2-7718dd39466a · outbound
This paper cites Lemercier, C.
Average signature of geodesic paths in compact Lie groups Lemercier, C
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.078918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9d604076-30f5-4094-bf3f-a64130a88ec4 · outbound
This paper cites Hyperbolic development and the inversion of signature.
Average signature of geodesic paths in compact Lie groups Hyperbolic development and the inversion of signature
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.085792Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 53b4230c-d697-41c1-a460-dca06e028f8e · outbound
This paper cites Inverting the signature of a path.
Average signature of geodesic paths in compact Lie groups Inverting the signature of a path
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.071569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bd4cb901-8290-430d-982f-9d7251022691 · outbound
This paper cites Free L ie algebras.
Average signature of geodesic paths in compact Lie groups Free L ie algebras
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T17:58:18.064410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b6cb7bab-149d-4529-9cde-69e8ca4ab9f0 · outbound
This paper cites an unresolved cited work.
Average signature of geodesic paths in compact Lie groups Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T17:58:18.067206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.